Author:
BOWEN LEWIS,GUTMAN YONATAN
Abstract
AbstractThe classical Juzvinskii addition theorem states that the entropy of an automorphism of a compact group decomposes along invariant subgroups. Thomas generalized the theorem to a skew-product setting. Using L. Bowen’s f-invariant, we prove the addition theorem for actions of finitely generated free groups on skew-products with compact totally disconnected groups or compact Lie groups (correcting an error in L. Bowen [Nonabelian free group actions: Markov processes, the Abramov–Rohlin formula and Yuzvinskii’s formula. Ergod. Th. & Dynam. Sys.30(6) (2010), 1629–1663]) and discuss examples.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference16 articles.
1. The addition theorem for the entropy of transformations of $G$-spaces;Thomas;Trans. Amer. Math. Soc.,1971
2. Entropy and isomorphism theorems for actions of amenable groups
3. The entropy of algebraic actions of countable torsion-free abelian groups
4. Mahler measure and entropy for commuting automorphisms of compact groups
5. An upper bound of the entropy of classical dynamical systems;Kushnirenko;Sov. Math. Dokl.,1965
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献